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From the solution of the 3 methods we compute the density at time t = 100, see Figure 6 (left).
By combining molecular dynamics (MD), density functional theory (DFT), and Boltzmann transport equation (BTE) methods, we compute all of the transport coefficients without empirical parameters.
To measure the stability of the methods, we compute (i) the Spearman correlation between the two pairwise Euclidean distance matrices of the pairs of predicted structures and (ii) the RMSD between the rescaled predicted structures.
Similar(57)
In Figs. 6(3), (7), since Yu's method detected elliptic arcs from the different ellipse from that of the other methods, we computed the inlier and outlier selection ratios for the corresponding ellipse.
As described in Methods, we computed a continuous prognostic score (PS) based on the grouping defined in the training set.
To assess the similarity between two methods, we computed the correlation coefficients (R) between the standardized coefficients generated from the two methods.
For each of the mapping methods, we computed the average and standard deviation of several mapping statistics across the 57 samples.
Then using Benjamini-Hochberg's [ 49] and Storey [ 50] methods, we computed the false discovery rate (FDR) associated to the different p-values.
In order to assess the statistical significance of mechanism overlap unveiled by two different methods, we computed the following contingency table: (#Overlapping mechanisms, #Non-overlapping mechanisms in method 1) × (#Non-overlapping mechanisms in method 2, #Remaining mechanisms in mathematical universe).
To avoid the limitations associated with the inherent assumptions of these methods, we computed confidence regions around the parameter estimates using the F-test method (see Additional file 8) [ 51].
To further investigate at the differences between the four methods, we computed the intersection using CN prediction from 60K independent autosomal SNPs (SNPs that were not in LD in the CEU population, see Supplementary Methods).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com